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Finding the Fourth Proportional to 410.76, 616.17 and 167.34

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Solution

The fourth proportional to 410.76, 616.17 and 167.34 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 616.17 = 167.34 : x
  2. Step 2: Convert to fraction form
    410.76/616.17 = 167.34/x
  3. Step 3: Cross multiply
    410.76x = 616.17 × 167.34
  4. Step 4: Simplify right side
    410.76x = 103,109.89
  5. Step 5: Solve for x
    x = 103,109.89/410.76
  6. Step 6: Final answer
    x = 251.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.